Round 0.0695712 to 2 significant figures

Select the correct answer.

svet-max [94.6K]

The volume of the sphere will be 49π cubic cm. Then the correct option is C.

<h3>What is the volume of the sphere?</h3>

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The figure shows a vertical cross-section of a sphere inscribed in a right cone.

A vertical cross-section of a sphere inside a cone has a radius labeled as r. The height of the cone is 12 centimeters. The half length of the face of the cone is 5 centimeters.

Then the volume of the sphere will be

In ΔADF, we have

tan a = 5 / 12

a = 22.61°

Then in triangle ΔABC, we have

sin 22.61° = r / (12 - r)

0.38 = r / (12 - r)

4.62 - 0.38r = r

1.38r = 4.62

r = 3.34 cm

Then the volume of the sphere will be

V = 4/3 π(3.34)³

V = 49π cubic cm

Then the correct option is C.

More about the volume of the sphere link is given below.

brainly.com/question/9994313

#SPJ1

8 0

2 years ago

Tutor me!

choli [55]

Questions:

<h3><u>Let's start easy.</u></h3>

$5\frac{2}{3} -\frac{1}{4}$

<h3><u>Next up, let's make it a bit harder:</u></h3>

Ella is baking cookies to put in packages for a fundraiser. Ella has made 86 chocolate chip cookies and 42 sugar cookies.

Ella wants to create identical packages of cookies to sell, and she must use all of the cookies.

What is the greatest number of identical packages that Ella can make?

$\frac{17}{3} -\frac{1}{4}$

$\frac{17x4-3x 4 }{12} \\\\\frac{68-12}{12} \\\\\frac{56}{12} =\frac{28}{6}=\frac{14}{3}$

Multiply the denominators to make it one fraction.

Now for the numerator, you multiply the numerator of the the 1st fraction with the second fractions denominator. Then Multiply the 1st fractions denominator with the 2nd fractions numerator. Now with those two numbers you Subtract it. Whatever number you get is the numerator. So there is the fraction. You would just simplify it. (IF you want to add fractions instead of subtracting the numerators, you add the numerators. Like instead of 68-12 you would do 68+12

8 0

3 years ago

You currently have 12 bottles of water on your shelf, and want to keep a minimum level of 6 bottles at all times. You average sa

Iteru [2.4K]

Answer:pretty sure its 20

Step-by-step explanation: so i took 7 and multiplied it by 2 because that is how much is sold every day and got 14. then added six to that and got 20. then i wrote this on my paper:

20 18 16 14 12 10 8

S M T W T F S

so by Saturday you should have 8 and that would leave you 6 on sunday after you sell 2. does that make sense?

7 0

3 years ago

What is 10 more than 1465

alexira [117]

1465+10=1475

Hope this helps!! :D

4 0

3 years ago

Read 2 more answers

Suppose we roll a fair six-sided die 20 times and draw ten cards from a standard 52-card deck. Let X be the number of "6"s rolle

Lera25 [3.4K]

Answer:

a) Expected value = 6.406

Variance = 4.905

Standard deviation = 2.45

b) The probability is 0.08547

Step-by-step explanation:

a) Let's suppose that:

X₁ = number of 6´s

X₂ = number of Jack, Queen, King or Aces

The mean of X₁ is:

MeanX₁ = n * p = 20 * (1/6) = 3.33

The variance of X₁ is:

$Var-X_{1} =np(1-p)=3.33(1-(1/6))=2.775$

The mean of X₂ is:

MeanX₂ = 10 * (16/52) = 3.076

The variance of X₂ is:

$Var-X_{2} =3.076(1-(16/52))=2.13$

The expect value of X is:

Xexp = MeanX₁ + MeanX₂ = 3.33 + 3.076 = 6.406

The variance of X is:

VarX = VarX₁ + VarX₂ = 2.775 + 2.13 = 4.905

The standard deviation is:

Xdevi = 4.905/2 = 2.45

b) The probability of drawing at least five six out of 20 rolls is equal to:

∑(1/6)ˣ(5/6)²⁰⁻ˣ = 0.231 with x = 5

The probability of at least 4 Jack, Queen, Kings or Aces is:

∑(16/52)ˣ(1-(16/52))¹⁰⁻ˣ = 0.37 with x = 4

The probability of given event is equal to:

P = 0.231 * 0.37 = 0.08547

5 0

3 years ago